Generalized (kappa,mu)-Paracontact Metric Manifolds with xi(mu)=0

TL;DR

This paper classifies a specific type of generalized (kappa,mu)-paracontact metric manifolds satisfying a particular condition, providing a local classification and an example.

Contribution

It offers the first local classification of generalized (kappa,mu)-paracontact metric manifolds with the condition xi(mu)=0, including an explicit example.

Findings

Local classification of the manifolds.

Explicit example of such manifolds.

New insights into the structure of these manifolds.

Abstract

We give a local classification of generalized (kappa,mu)-Paracontact Metric Manifold which satisfies the condition xi(mu)=0. An example of such manifolds is presented.